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Finding the Fourth Proportional to 586.01, 876.43 and 521.47

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Solution

The fourth proportional to 586.01, 876.43 and 521.47 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.01 : 876.43 = 521.47 : x
  2. Step 2: Convert to fraction form
    586.01/876.43 = 521.47/x
  3. Step 3: Cross multiply
    586.01x = 876.43 × 521.47
  4. Step 4: Simplify right side
    586.01x = 457,024.96
  5. Step 5: Solve for x
    x = 457,024.96/586.01
  6. Step 6: Final answer
    x = 779.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.